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Coastal marshes are vulnerable to erosion caused by rising seas, pounding waves, and tidal flows. In California's Elkhorn Slough, these vulnerabilities are made worse by superabundant crabs found at t...
Ice on the Greenland Ice Sheet doesn’t just melt. The ice slides rapidly across its bed toward the ice sheet’s edges. As a result, ice is moving to high-melt marginal zones more rapidly than previousl...
Given a target variable and observational data, we propose a sequential learning approach for discovering direct cause and effect variables of the target under the causal network frame-work. In the ap...
. It is widely believed that to e±ciently represent an otherwise smooth object with discontinuities along edges, one must use an adaptive representation that in some sense `tracks' the shape of the ...
We consider a model problem of recovering a function f(x1; x2) from noisy Radon data. The function f to be recovered is assumed smooth apart from a discontinuity along a C2 curve { i.e. an edge. We ...
An analytical approach is developed to obtain the exact expressions for the two-point resistance, and the total effective resistance of the complete graph minus $N$ edges of the opposite vertices. The...
Abstract: This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish p...
Abstract: Let $ H = (V,E) $ be a hypergraph. By the chromatic number of a hypergraph $ H = (V,E) $ we mean the minimum number $\chi(H)$ of colors needed to paint all the vertices in $ V $ so that any ...
Abstract: Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation a...
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
In a previous paper, we discovered a surprising spectrally-invariant relationship in shortwave spectrometer observations taken by the Atmospheric Radiation Measurement (ARM) program. The relationship ...
We present the results of ab-initio density functional theory based calculations of the stability and reconstruction of zigzag edges in triangular graphene quantum dots. We show that, while the recons...
We present the results of ab-initio density functional theory based calculations of the stability and reconstruction of zigzag edges in triangular graphene quantum dots. We show that, while the recons...
Let n  2 be an integer, and let i 2 f0; : : : ; n 􀀀 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
There are two properties shared by all known crossing-minimizing geometric drawings of Kn, for n a multiple of 3.First, the underlying n-point set of these drawings has exactly 3􀀀k+2 2(≤ k)...

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